======================================================
Explanation:
The notation N(950,50) tells us that we have a normal distribution with the following parameters:
mu = 950 = meansigma = 50 = standard deviationUse the z score z = 2.5 to convert to its raw score x
z = (x-mu)/sigma
2.5 = (x-950)/50
2.5*50 = x-950
125 = x-950
x-950 = 125
x = 125+950
x = 1075
Frank's z score of z = 2.5 corresponds to the actual score of x = 1075. This is 1075-675 = 400 points higher than the score Chris got.
find the midpoint of the line segment joining the two points (-1,-1) and (-5,4)
Answer:
(-3, 1.5)
Step-by-step explanation:
equation: M = (x1+x2)/2 , (y1+y2)/2
So, plug it in.
(-1-5)/2 , (-1+4)/2
-3 , 1.5
so, x = -3 and y = 1.5
An air-conditioning and heating company has a fixed monthly cost of 4,000. Furthermore, each service call costs the company 25 .
all you need to do is 4000÷25=160
The linear equation in slope-intercept form is: y = 25x + 4000.
The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:
y = mx + b
m represents the slope of the line, which represents the cost per service call.
Since each service call costs the company $25, the slope (m) is 25.
b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.
Therefore, the linear equation in slope-intercept form is: y = 25x + 4000
Learn more about Linear Equation here:
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HELPP PLS I NEED THIS WUICK ILL GIVE BRAINLEST
Answer:
x = 20
Step-by-step explanation:
(2x+10) = 180 - 130
2x + 10 = 50
2x= 40
x = 20
hope this helps! :)
Just a little help please ☺️
Simplify
(3^8/3^5)3
3^9
3^39
3^10
3^6
[tex]\left(\dfrac{3^8}{3^5} \right)^3\\\\\\=\left(3^{8-5}\right)^3\\\\=(3^3)^3\\\\=(3)^{3\cdot 3}\\\\=3^9[/tex]
Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression represents the total amount of money Mike earned for both weeks?
1.50x
1.50 x
1.05x
1.05 x
2.00x
2.00 x
2.05x
Answer:
1.05x I think
Find the area of each figure
Answer:
24
Step-by-step explanation:
12*4/2
Enter the value of x + 27.
х
1
o
1x + 27)
67°
1) Commutative Property of addition and multiplication: (Commutative, x; Commutative, +) ... 24) -6 + 10 = 4 25) - 8 - 12 = 20 26) -8 +6= -2 27) -7 - 5= -12.
A company makes 140 bags.
30 of the bags have buttons but no zips.
27 of the bags have zips but no buttons.
20 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Answer: 41/75 or 54.67%
Step-by-step explanation:
Buttons --- yes, zips --- yes = 45 (compute as 150 - 37 - 45 - 23)
Buttons --- yes, zips --- no = 37
Buttons --- no, zips --- yes = 45
Buttons --- no, zips --- no = 23
Therefore, 82 out of 150 bags have buttons so probability = 82/150 = 41/75
Sheila has 11
1
2
pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1
1
4
pounds. How many containers does she need? Complete the explanation.
Containers are counted in
mixed
numbers, so she will need containers.
Answer:
She will need 10 containers
Step-by-step explanation:
Using long division and converting both solutions to decimals we can use the equation 11.50 divided by 1.25. This will equal 9.20, we then know that she would need 9 containers but we would still have a remainder of .20 so in total to fit everything she would need 10.
I hope this helps have a great day :)
how to find parallelogram height with angles and side length
Answer:
h = a * sin α
Step-by-step explanation:
The easiest answer is utilizing Law of Sines: a / Sin A = b / Sin B = c /Sin C
a and ∠α : known
∠AEB = 90°
a / Sin 90° = h / Sin α .. Sin 90° = 1
h = a * sin α
What is the area, in square centimeters, of the shape below?
Express your answer as a fraction in simplest form.
Therefore, the area of the triangle is 4/9 cm².
Hoped this helped.
[tex]BrainiacUser1357[/tex]
I'm spending my last 10 points on this please help me
Answer:
Rate of sales tax = 6% of $60
Sales tax = [tex]\frac{6}{100}[/tex] × 60
= $3.60
The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the
equation. Include the phrases, "Isolate the variable by -" "Simplify," and "Isolate
the variable term by -" in your answers.
Original equation
7x +3 - 52
7x +3-3-52-3
7x = 49
7x49
TT
x = 7
Answer:
The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the
Step-by-step explanation:
Simplifying
7x + 3 = 52
Reorder the terms:
3 + 7x = 52
Solving
3 + 7x = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 7x = 52 + -3
Combine like terms: 3 + -3 = 0
0 + 7x = 52 + -3
7x = 52 + -3
Combine like terms: 52 + -3 = 49
7x = 49
Divide each side by '7'.
x = 7
Simplifying
x = 7
Please Help!!!!!! Tom says that he needs 6 rolls to obtain each possible outcome on a 6-sided die. On the fourth roll, he rolls his second "3”. Tom says that the die is loaded and that each outcome is not equally likely. Is Tom correct here? If you think Tom is incorrect, how many rolls should Tom make until he sees each number occurring about 1/6 of the time?
Answer:
I think he is correct.
Step-by-step explanation:
I think he is correct because when you roll a die, it is 10 to 1 for the die to get the number you want.
Tom says that the dices outcome is NOT equally likely. When actually the outcome is equally likely.
On dice no two number repeat twice. So in this case every time he rolls the die he has the same chance of getting 3 than he does any other number.
So Tom is incorrect.
And for how many times it will take Tom for all the numbers to occur is all by luck and chance.
But each number is equally likely to come.
PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!
Find the solution of the system of equations.
x-y=-3
-8x+y=45
The scale model of a building is 8.5 inches tall. How tall is the actual building if the scale
used for the model is 1 inch = 150 feet?
Answer:
1,275
Step-by-step explanation:
Answer:
1275
Step-by-step explanation:
you do 8.5 multiplied by 150
Help Please !! I Need To Have This Turned In By The Next Hour , Anybody Know It !?
Answer:
no
Step-by-step explanation:
Step-by-step explanation:
Because lines are parallel you can use certain rules to determine the relationship of angle 1 & 2.
(A1 & A2 for short)
With the C shape within the parallel lines we can guarantee that the sum of A1 and A2 is equal to 180.
We can also assume A2 is less than 90° as the lines are parallel and the opposing, non parallel line is acute. With this knowledge and the C shape rule, A1 is therefore more than 90°.
Hope this helps
Nine cereal bars are shared equally by 4 students. How many does each student receive?
Answer:
each student gets 2 bars and a quarter of one (2.25 or 2 1/4)
Step-by-step explanation:
Can system of equations be linear and nonlinear
what is the solution
3x-1/4 = -5/11
(3x-1)11 = -5(4)
33x-11 = -20
+11 = +11
33x = - 9
33x/33 = -9/33
x = -3/11
Answer:
3x-1/4=-5/1111 (3x-1)=4 (5)33x-11=2033x=20+1133x=31x=31/33x=?8) The height of a stack of CD cases is Proportional to the number of CDs in the stack. A stack of 6 CDs is 66mm high.* Find the unit rate**
a) How high is a stack of 10 CDs?
b) Write an equation that relates the height (y) of a stack of CDs and the number of CD cases(x) in the stack.
please help I will mark your answer as brainliest
Answer:
a) 110 mm
b) y = 11x
Step-by-step explanation:
The unit rate for 6 CD at 66 mm is
66mm / 6 CD = 11 mm per CD
a) 10 CD's
66 mm x mm
--------- = ------------
6 CD 10 CD
Using cross products
66 * 10 = 6x
660 = 6x
Divide by 6
660/6 = x
110 mm for 10 CD's
b) y = 11 x
We use the rate and multiply by the number of cases to get the height
check whether the given fraction are equivalent
a) 7 /13 ,5/11
Answer:
No
Step-by-step explanation:
Not equivalent
7/13 ≠ 5/11
Will mark brainly!
What is the inverse of [tex]f(x)=\frac{2}{x-1} +6?[/tex]
[tex]f^{-1} (x)=\frac{2}{x-1} +6[/tex]
[tex]f^{-1} (x)=\frac{2}{x} +7[/tex]
[tex]f^{-1} (x)=\frac{2}{y-6} +1[/tex]
[tex]f^{-1} (x)=\frac{2}{x-6} +1[/tex]
Answer:
[tex] {f}^{ - 1} (x) = \frac{2}{x - 6} + 1[/tex]
Step-by-step explanation:
we will subistitute f(x) by y and solve the equation in order to get the value of x,
then we subistitute x by y and y by x and y=f^-1(x)
what is the value of y if x = 4
Answer:
5aaaaaaaaaaaaaaaaaaaaaaaa
Davina travelled 500 miles in 7 days. What is the average
distance travelled each day?
please help me i’m so lost Determine the lengths of AB and AC in the right triangle. You may give your answers in radical
form.
Answer:
see explanation
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6}{AB}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
AB = 12
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2 AC = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
AC = 6[tex]\sqrt{3}[/tex]
Lisa paint 3/8 of the room and Madison paint 1/5
how much more of the room did Lisa paint
Answer:
[tex]\huge\boxed{\frac7{40}\ more\ of\ the\ room}[/tex]
Step-by-step explanation:
To solve this problem, you need to find the common denominator.
To do this, simply multiply the first fraction by 5/5, and the second by 8/8 to get:
[tex]\frac15=\frac{1}{5}*\frac{8}{8} = \frac{1*8}{5*8} = \frac{8}{40}[/tex]
[tex]\frac38=\frac38*\frac55=\frac{3*5}{8*5}=\frac{15}{40}[/tex]
Thus, Lisa painted 7/40 more of the room than Madison.
Hope it helps :)
which of the following is would most likely negatively affect a person’s net worth
Step-by-step explanation:
Net Worth
Your assets are anything of value that you own that can be converted into cash. Examples include investments, bank and brokerage accounts, retirement funds, real estate and personal property (vehicles, jewelry, and collectibles)—and, of course, cash itself. Intangibles such as your personal network are sometimes considered assets as well. Your liabilities, on the other hand, represent your debts, such as loans, mortgages, credit card debt, medical bills, and student loans. The difference between the total value of your assets and liabilities is your net worth.
solve the following equation and verify your answer.
[tex] \\ [/tex]
[tex] \huge \purple{ \frac{3x - 1}{5} - \frac{x}{7} = 3}[/tex]
Answer:
x = 7
Step-by-step explanation:
[tex]\frac{3x-1}{5}[/tex] - [tex]\frac{x}{7}[/tex] = 3
Multiply through by 35 ( the LCM of 5 and 7 ) to clear the fractions
7(3x - 1) - 5x = 105 ← distribute parenthesis and simplify left side
21x - 7 - 5x = 105
16x - 7 = 105 ( add 7 to both sides )
16x = 112 ( divide both sides by 16 )
x = 7
To verify the answer substitute x = 7 into the left side of the equation and if equal to the right side then it is the solution
[tex]\frac{3(7)-1}{5}[/tex] - [tex]\frac{7}{7}[/tex]
= [tex]\frac{21-1}{5}[/tex] - 1
= [tex]\frac{20}{5}[/tex] - 1
= 4 - 1
= 3 = right side
Then x = 7 is the solution to the equation
It costs $10 to rent a canoe and $5.50 to use the canoe for an hour. You have $21. Write an equation that represents the number h of hours you can rent the canoe.
Answer:
21 = 10 + 5.5h
Step-by-step explanation:
Total cost = initial cost + hourly cost
21 = 10 + hourly cost
hourly cost = 5.5 per hour, or 5.5 * h as we add 5.5 for each hour
21 = 10 + 5.5h
Answer:
Step-by-step explanation:
$10 + $5.50h ≤ $21
Let h stand for the hours the canoe is rented.
Fixed cost = $10, regardless of h.
$5.50h for the cost of n hours of rental.
Total cost = $10 + $5.50h
The total cannot exceed $21, legally.
So we should write:
$10 + $5.50h ≤ $21
If $10 + $5.50h ≥ $21 then ║║║║║║║